The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1
 0  1  1  2 3X+4  3  0 3X+1  2  1 3X+1  X
 0  0 3X 2X  X  0 4X 2X  X 2X 4X 3X

generates a code of length 12 over Z5[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+48x^40+120x^41+200x^44+384x^45+360x^46+800x^49+664x^50+520x^51+16x^55+12x^60

The gray image is a linear code over GF(5) with n=60, k=5 and d=40.
This code was found by Heurico 1.16 in 0.00278 seconds.